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Finding the Third Proportional to 199,624 and 433,153

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Solution

The third proportional to 199,624 and 433,153 is: 939,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,624 : 433,153 = 433,153 : x
  2. Step 2: Convert to fraction form
    199,624/433,153 = 433,153/x
  3. Step 3: Cross multiply
    199,624x = 433,153 × 433,153
  4. Step 4: Simplify right side
    199,624x = 187,621,521,409
  5. Step 5: Solve for x
    x = 187,621,521,409/199,624
  6. Step 6: Final answer
    x = 939,874.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.